Please use this identifier to cite or link to this item: http://elar.urfu.ru/handle/10995/122269
Title: On One Inequality of Different Metrics for Trigonometric Polynomials
Authors: Arestov, V. V.
Deikalova, M. V.
Issue Date: 2022
Publisher: N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences
Ural Federal University named after the first President of Russia B.N. Yeltsin
Citation: Arestov V. V. On One Inequality of Different Metrics for Trigonometric Polynomials / V. V. Arestov, M. V. Deikalova. — Text : electronic // Ural Mathematical Journal. — 2022. — Volume 8. — № 1. — P. 27-45.
Abstract: We study the sharp inequality between the uniform norm and Lp(0,π∕2)-norm of polynomials in the system = {cos(2k + 1)x}k=0∞ of cosines with odd harmonics. We investigate the limit behavior of the best constant in this inequality with respect to the order n of polynomials as n → ∞ and provide a characterization of the extremal polynomial in the inequality for a fixed order of polynomials.
Keywords: TRIGONOMETRIC COSINE POLYNOMIAL IN ODD HARMONICS
NIKOL'SKII DIFFERENT METRICS INEQUALITY
URI: http://elar.urfu.ru/handle/10995/122269
Access: Creative Commons Attribution License
License text: https://creativecommons.org/licenses/by/4.0/
RSCI ID: 50043140
ISSN: 2414-3952
DOI: 10.15826/umj.2022.2.003
Origin: Ural Mathematical Journal. 2022. Volume 8. № 2
Appears in Collections:Ural Mathematical Journal

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